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Quasi-uniform completeness in terms of Cauchy nets
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sünderhauf, Philipp |
| Copyright Year | 1995 |
| Abstract | The notion of completeness for quasi-uniform spaces developed in Smy93] and S un93] is presented in terms of nets rather than lters. As a byproduct, we get a new characterisation of completability and the result that for all completable spaces the Smyth-completion coincides with the well-known bicompletion of FL82]. Totally bounded spaces are singled out to belong to the class of completable quasi-uniform spaces. |
| Starting Page | 47 |
| Ending Page | 54 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF01874606 |
| Volume Number | 69 |
| Alternate Webpage(s) | http://www.di.uminho.pt/ftp/pub/DI/Fundamentos/Papers/mirror-ImperialCollege/AbramskyS/clics/clics.sunderhauf.nets.ps.gz |
| Alternate Webpage(s) | https://doi.org/10.1007/BF01874606 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |